%% dx = (0.03125,0.03125)
solution = [
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0.707107 0.676659 0.587938 0.448584 0.270598 0.0693086 -0.13795 -0.333328 -0.5 -0.623613 -0.69352 -0.703702 -0.653281 -0.546601 -0.392847 -0.205262 -1.29893e-16 0.205262 0.392847 0.546601 0.653281 0.703702 0.69352 0.623613 0.5 0.333328 0.13795 -0.0693086 -0.270598 -0.448584 -0.587938 -0.676659 -0.707107 
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3.67394e-16 3.51574e-16 3.05477e-16 2.33072e-16 1.40596e-16 3.60109e-17 -7.1675e-17 -1.73188e-16 -2.59787e-16 -3.24013e-16 -3.60335e-16 -3.65625e-16 -3.39428e-16 -2.83999e-16 -2.04113e-16 -1.06649e-16 -6.74892e-32 1.06649e-16 2.04113e-16 2.83999e-16 3.39428e-16 3.65625e-16 3.60335e-16 3.24013e-16 2.59787e-16 1.73188e-16 7.1675e-17 -3.60109e-17 -1.40596e-16 -2.33072e-16 -3.05477e-16 -3.51574e-16 -3.67394e-16 
-0.382683 -0.366205 -0.31819 -0.242772 -0.146447 -0.0375095 0.0746578 0.180396 0.270598 0.337497 0.37533 0.380841 0.353553 0.295818 0.212608 0.111087 7.02978e-17 -0.111087 -0.212608 -0.295818 -0.353553 -0.380841 -0.37533 -0.337497 -0.270598 -0.180396 -0.0746578 0.0375095 0.146447 0.242772 0.31819 0.366205 0.382683 
-0.707107 -0.676659 -0.587938 -0.448584 -0.270598 -0.0693086 0.13795 0.333328 0.5 0.623613 0.69352 0.703702 0.653281 0.546601 0.392847 0.205262 1.29893e-16 -0.205262 -0.392847 -0.546601 -0.653281 -0.703702 -0.69352 -0.623613 -0.5 -0.333328 -0.13795 0.0693086 0.270598 0.448584 0.587938 0.676659 0.707107 
-0.92388 -0.884098 -0.768178 -0.586103 -0.353553 -0.090556 0.18024 0.435514 0.653281 0.814789 0.906127 0.919431 0.853553 0.714169 0.51328 0.268188 1.69714e-16 -0.268188 -0.51328 -0.714169 -0.853553 -0.919431 -0.906127 -0.814789 -0.653281 -0.435514 -0.18024 0.090556 0.353553 0.586103 0.768178 0.884098 0.92388 
-1 -0.95694 -0.83147 -0.634393 -0.382683 -0.0980171 0.19509 0.471397 0.707107 0.881921 0.980785 0.995185 0.92388 0.77301 0.55557 0.290285 1.83697e-16 -0.290285 -0.55557 -0.77301 -0.92388 -0.995185 -0.980785 -0.881921 -0.707107 -0.471397 -0.19509 0.0980171 0.382683 0.634393 0.83147 0.95694 1 
-0.92388 -0.884098 -0.768178 -0.586103 -0.353553 -0.090556 0.18024 0.435514 0.653281 0.814789 0.906127 0.919431 0.853553 0.714169 0.51328 0.268188 1.69714e-16 -0.268188 -0.51328 -0.714169 -0.853553 -0.919431 -0.906127 -0.814789 -0.653281 -0.435514 -0.18024 0.090556 0.353553 0.586103 0.768178 0.884098 0.92388 
-0.707107 -0.676659 -0.587938 -0.448584 -0.270598 -0.0693086 0.13795 0.333328 0.5 0.623613 0.69352 0.703702 0.653281 0.546601 0.392847 0.205262 1.29893e-16 -0.205262 -0.392847 -0.546601 -0.653281 -0.703702 -0.69352 -0.623613 -0.5 -0.333328 -0.13795 0.0693086 0.270598 0.448584 0.587938 0.676659 0.707107 
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-4.89859e-16 -4.68766e-16 -4.07303e-16 -3.10763e-16 -1.87461e-16 -4.80146e-17 9.55667e-17 2.30918e-16 3.46382e-16 4.32017e-16 4.80446e-16 4.875e-16 4.5257e-16 3.78666e-16 2.72151e-16 1.42198e-16 8.99856e-32 -1.42198e-16 -2.72151e-16 -3.78666e-16 -4.5257e-16 -4.875e-16 -4.80446e-16 -4.32017e-16 -3.46382e-16 -2.30918e-16 -9.55667e-17 4.80146e-17 1.87461e-16 3.10763e-16 4.07303e-16 4.68766e-16 4.89859e-16 
];
err = [
0 0 -0 -6.21725e-14 -3.18222e-13 8.54428e-14 -1.12668e-12 -1.42044e-13 8.74392e-13 -5.14807e-13 8.68446e-13 -4.69978e-13 2.82984e-13 -8.78107e-13 5.57391e-14 -1.23646e-13 1.00229e-13 1.61461e-13 8.38082e-13 7.91197e-13 5.72404e-13 -8.48838e-13 -6.72519e-13 3.00432e-13 -2.32445e-13 -4.30647e-14 -1.55251e-13 3.93556e-14 6.14325e-13 -3.30132e-13 1.6435e-14 -7.95118e-14 0 
2.77556e-16 0.000685173 0.000593165 -9.43101e-05 -0.00121194 -0.00260096 -0.00410508 -0.00557021 -0.00684665 -0.00779347 -0.00828603 -0.00822777 -0.00756648 -0.00631021 -0.00453348 -0.00236959 8.6914e-14 0.00236959 0.00453348 0.00631021 0.00756648 0.00822777 0.00828603 0.00779347 0.00684665 0.00557021 0.00410508 0.00260096 0.00121194 9.43101e-05 -0.000593165 -0.000685173 0 
4.996e-15 0.00119654 0.000955498 -0.00038891 -0.0025328 -0.00518423 -0.00805528 -0.0108607 -0.0133202 -0.0151648 -0.0161482 -0.0160696 -0.0148098 -0.0123727 -0.00890201 -0.0046564 7.06499e-14 0.0046564 0.00890201 0.0123727 0.0148098 0.0160696 0.0161482 0.0151648 0.0133202 0.0108607 0.00805528 0.00518423 0.0025328 0.00038891 -0.000955498 -0.00119654 0 
-1.04361e-14 0.00138827 0.000894402 -0.00104894 -0.00404884 -0.00772786 -0.0117129 -0.0156313 -0.0191102 -0.0217778 -0.0232714 -0.0232651 -0.021534 -0.0180492 -0.0130253 -0.00682094 4.75161e-14 0.00682094 0.0130253 0.0180492 0.021534 0.0232651 0.0232714 0.0217778 0.0191102 0.0156313 0.0117129 0.00772786 0.00404884 0.00104894 -0.000894402 -0.00138827 0 
3.15081e-13 0.00116627 0.000287918 -0.00217446 -0.00580389 -0.0102006 -0.0149691 -0.0197106 -0.0240151 -0.0274489 -0.0295414 -0.0297978 -0.0277953 -0.0234103 -0.0169961 -0.00890561 2.2498e-14 0.00890561 0.0169961 0.0234103 0.0277953 0.0297978 0.0295414 0.0274489 0.0240151 0.0197106 0.0149691 0.0102006 0.00580389 0.00217446 -0.000287918 -0.00116627 0 
7.9714e-14 0.000503818 -0.00089376 -0.00378037 -0.0077854 -0.0125562 -0.0177456 -0.0230026 -0.0279546 -0.0321711 -0.0351003 -0.0360051 -0.03404 -0.0287931 -0.0212006 -0.0110515 -3.7689e-15 0.0110515 0.0212006 0.0287931 0.03404 0.0360051 0.0351003 0.0321711 0.0279546 0.0230026 0.0177456 0.0125562 0.0077854 0.00378037 0.00089376 -0.000503818 0 
3.12839e-12 -0.000553123 -0.00258127 -0.0057899 -0.0099193 -0.0147283 -0.0199866 -0.0254685 -0.0309329 -0.0360649 -0.0403305 -0.0426947 -0.0413498 -0.0346669 -0.0266287 -0.0134035 -3.35652e-14 0.0134035 0.0266287 0.0346669 0.0413498 0.0426947 0.0403305 0.0360649 0.0309329 0.0254685 0.0199866 0.0147283 0.0099193 0.0057899 0.00258127 0.000553123 0 
1.7375e-14 -0.00189224 -0.00461509 -0.00804356 -0.0120764 -0.0166309 -0.0216458 -0.0270864 -0.0329452 -0.0392055 -0.0456612 -0.0512658 -0.0523011 -0.0404768 0 0 0 0 0 0.0404768 0.0523011 0.0512658 0.0456612 0.0392055 0.0329452 0.0270864 0.0216458 0.0166309 0.0120764 0.00804356 0.00461509 0.00189224 0 
-8.43676e-13 -0.00335176 -0.00676957 -0.0103234 -0.0140919 -0.0181707 -0.0226854 -0.0278175 -0.0338534 -0.0412743 -0.0508684 -0.0634172 0 0 0 0 0 0 0 0 0 0.0634172 0.0508684 0.0412743 0.0338534 0.0278175 0.0226854 0.0181707 0.0140919 0.0103234 0.00676957 0.00335176 0 
-1.54876e-14 -0.00474522 -0.00878807 -0.0123884 -0.0157973 -0.0192746 -0.0231076 -0.0276449 -0.0333766 -0.0411697 -0.053121 0 0 0 0 0 0 0 0 0 0 0 0.053121 0.0411697 0.0333766 0.0276449 0.0231076 0.0192746 0.0157973 0.0123884 0.00878807 0.00474522 0 
2.93876e-13 -0.00589005 -0.0104228 -0.0140144 -0.017054 -0.0199252 -0.0230193 -0.0267464 -0.0315412 -0.0377835 -0.0450796 0 0 0 0 0 0 0 0 0 0 0 0.0450796 0.0377835 0.0315412 0.0267464 0.0230193 0.0199252 0.017054 0.0140144 0.0104228 0.00589005 0 
-4.17444e-14 -0.00663497 -0.011472 -0.0150274 -0.0177763 -0.0201731 -0.0226564 -0.0256457 -0.0295566 -0.034963 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034963 0.0295566 0.0256457 0.0226564 0.0201731 0.0177763 0.0150274 0.011472 0.00663497 0 
1.31217e-12 -0.00688198 -0.0118078 -0.0153249 -0.0179326 -0.0200993 -0.0222555 -0.0247545 -0.0277729 -0.0310676 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0310676 0.0277729 0.0247545 0.0222555 0.0200993 0.0179326 0.0153249 0.0118078 0.00688198 0 
-3.33067e-16 -0.00660013 -0.011393 -0.0148845 -0.0175362 -0.0197814 -0.0220185 -0.0245679 -0.0275494 -0.0305313 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0305313 0.0275494 0.0245679 0.0220185 0.0197814 0.0175362 0.0148845 0.011393 0.00660013 0 
6.63913e-14 -0.00582967 -0.0102846 -0.013762 -0.016628 -0.0192365 -0.0219372 -0.0250801 -0.0290219 -0.0341119 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0341119 0.0290219 0.0250801 0.0219372 0.0192365 0.016628 0.013762 0.0102846 0.00582967 0 
-3.66374e-14 -0.00467669 -0.0086272 -0.0120858 -0.0152745 -0.0184195 -0.0217718 -0.0256591 -0.0306446 -0.0380838 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0380838 0.0306446 0.0256591 0.0217718 0.0184195 0.0152745 0.0120858 0.0086272 0.00467669 0 
2.54272e-12 -0.0032989 -0.00663537 -0.010049 -0.0135846 -0.0172976 -0.0212655 -0.0256085 -0.0305163 -0.0362089 -0.0423209 0 0 0 0 0 0 0 0 0 0 0 0.0423209 0.0362089 0.0305163 0.0256085 0.0212655 0.0172976 0.0135846 0.010049 0.00663537 0.0032989 0 
-3.23075e-14 -0.00188356 -0.00456636 -0.00789032 -0.0117172 -0.0159208 -0.0203841 -0.0249929 -0.0296031 -0.0339147 -0.0371022 -0.0371543 0 0 0 0 0 0 0 0 0 0.0371543 0.0371022 0.0339147 0.0296031 0.0249929 0.0203841 0.0159208 0.0117172 0.00789032 0.00456636 0.00188356 0 
2.01283e-13 -0.000619965 -0.00268249 -0.00585917 -0.00985334 -0.0143817 -0.0191634 -0.0239077 -0.0282856 -0.0318684 -0.0340442 -0.0341059 -0.0322417 0 0 0 0 0 0 0 0.0322417 0.0341059 0.0340442 0.0318684 0.0282856 0.0239077 0.0191634 0.0143817 0.00985334 0.00585917 0.00268249 0.000619965 0 
1.04805e-13 0.000328994 -0.00121128 -0.00417544 -0.00815806 -0.0127692 -0.0176218 -0.0223232 -0.0264648 -0.0296094 -0.0312995 -0.0311558 -0.0291201 -0.0252685 -0.0170862 0 0 0 0.0170862 0.0252685 0.0291201 0.0311558 0.0312995 0.0296094 0.0264648 0.0223232 0.0176218 0.0127692 0.00815806 0.00417544 0.00121128 -0.000328994 0 
2.43139e-13 0.000851335 -0.00031106 -0.00299528 -0.00675238 -0.0111505 -0.0157633 -0.0201675 -0.0239444 -0.0266892 -0.0280353 -0.0277102 -0.0255979 -0.0216632 -0.0157808 -0.00984061 2.85849e-14 0.00984061 0.0157808 0.0216632 0.0255979 0.0277102 0.0280353 0.0266892 0.0239444 0.0201675 0.0157633 0.0111505 0.00675238 0.00299528 0.00031106 -0.000851335 0 
1.54987e-13 0.00090235 -4.82361e-05 -0.00238967 -0.0056995 -0.00957153 -0.0136069 -0.0174148 -0.02062 -0.0228775 -0.0238954 -0.0234675 -0.0214987 -0.017998 -0.0130905 -0.00723881 2.29015e-14 0.00723881 0.0130905 0.017998 0.0214987 0.0234675 0.0238954 0.0228775 0.02062 0.0174148 0.0136069 0.00957153 0.0056995 0.00238967 4.82361e-05 -0.00090235 0 
1.6015e-12 0.00051041 -0.00038943 -0.00233769 -0.00500255 -0.00806443 -0.0112099 -0.0141337 -0.0165468 -0.0181893 -0.0188483 -0.0183779 -0.016715 -0.0138851 -0.0100115 -0.00532764 1.73313e-14 0.00532764 0.0100115 0.0138851 0.016715 0.0183779 0.0188483 0.0181893 0.0165468 0.0141337 0.0112099 0.00806443 0.00500255 0.00233769 0.00038943 -0.00051041 0 
7.42739e-14 -0.000228478 -0.001209 -0.00273404 -0.00461127 -0.00665371 -0.00867637 -0.0104979 -0.0119458 -0.0128652 -0.0131297 -0.0126535 -0.0114016 -0.00939646 -0.00672264 -0.0035272 1.12236e-14 0.0035272 0.00672264 0.00939646 0.0114016 0.0126535 0.0131297 0.0128652 0.0119458 0.0104979 0.00867637 0.00665371 0.00461127 0.00273404 0.001209 0.000228478 0 
-2.03637e-12 -0.00116631 -0.00231037 -0.00340865 -0.0044351 -0.00536016 -0.0061501 -0.00676713 -0.00717055 -0.00731946 -0.00717699 -0.00671575 -0.00592347 -0.00480825 -0.00340326 -0.00177004 4.63762e-15 0.00177004 0.00340326 0.00480825 0.00592347 0.00671575 0.00717699 0.00731946 0.00717055 0.00676713 0.0061501 0.00536016 0.0044351 0.00340865 0.00231037 0.00116631 0 
1.09912e-14 -0.00212638 -0.00345751 -0.00415508 -0.00436032 -0.00420173 -0.00379675 -0.00324999 -0.00264983 -0.00206514 -0.0015431 -0.00110904 -0.000768258 -0.000509813 -0.00031213 -0.000149678 -2.40974e-15 0.000149678 0.00031213 0.000509813 0.000768258 0.00110904 0.0015431 0.00206514 0.00264983 0.00324999 0.00379675 0.00420173 0.00436032 0.00415508 0.00345751 0.00212638 0 
3.67484e-14 -0.00293071 -0.00441193 -0.00476337 -0.00426908 -0.00319229 -0.00177906 -0.000254705 0.00118363 0.0023754 0.0032041 0.00360195 0.00355116 0.00308119 0.00226212 0.00119498 -9.98801e-15 -0.00119498 -0.00226212 -0.00308119 -0.00355116 -0.00360195 -0.0032041 -0.0023754 -0.00118363 0.000254705 0.00177906 0.00319229 0.00426908 0.00476337 0.00441193 0.00293071 0 
4.74065e-14 -0.00342735 -0.0049693 -0.00505249 -0.00405763 -0.0023393 -0.000230742 0.00196099 0.00396521 0.00555959 0.00658115 0.00693414 0.00659328 0.00560182 0.00406427 0.00213442 -1.84945e-14 -0.00213442 -0.00406427 -0.00560182 -0.00659328 -0.00693414 -0.00658115 -0.00555959 -0.00396521 -0.00196099 0.000230742 0.0023393 0.00405763 0.00505249 0.0049693 0.00342735 0 
-4.51861e-13 -0.00351348 -0.00499059 -0.00489761 -0.00365152 -0.00164139 0.000766345 0.00323324 0.00546014 0.00720067 0.00827368 0.00857253 0.00806942 0.00681394 0.00492579 0.00258199 -2.95319e-14 -0.00258199 -0.00492579 -0.00681394 -0.00806942 -0.00857253 -0.00827368 -0.00720067 -0.00546014 -0.00323324 -0.000766345 0.00164139 0.00365152 0.00489761 0.00499059 0.00351348 0 
2.95319e-14 -0.00315095 -0.00442272 -0.00424842 -0.00301566 -0.00108653 0.00119765 0.0035213 0.00560519 0.00721903 0.0081934 0.00842852 0.00789872 0.00665134 0.0048002 0.00251392 -4.92778e-14 -0.00251392 -0.0048002 -0.00665134 -0.00789872 -0.00842852 -0.0081934 -0.00721903 -0.00560519 -0.0035213 -0.00119765 0.00108653 0.00301566 0.00424842 0.00442272 0.00315095 0 
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];
